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Finding the Fourth Proportional to 3,530.46, 5,296.14 and 1,065.28

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Solution

The fourth proportional to 3,530.46, 5,296.14 and 1,065.28 is: 1,598.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.46 : 5,296.14 = 1,065.28 : x
  2. Step 2: Convert to fraction form
    3,530.46/5,296.14 = 1,065.28/x
  3. Step 3: Cross multiply
    3,530.46x = 5,296.14 × 1,065.28
  4. Step 4: Simplify right side
    3,530.46x = 5,641,870.02
  5. Step 5: Solve for x
    x = 5,641,870.02/3,530.46
  6. Step 6: Final answer
    x = 1,598.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.